# Online Resource 2 — Supplementary Tables S2–S4

Generated by `scripts/14_prospective_and_identity.py` from a clean pipeline run.

## Table S2 — Prospective rescue target list

The 39 road-stage records whose `BASAL_SURFACE_OUTLINE` is not observed. These are
the units the identification-rescue frontier of Section 3.10 refers to. Every value below
is taken from the source database; nothing is inferred, and **no priority ordering is
imposed**, because the database carries no criterion that would justify one independently
of this analysis.

| OBJECTID | Shepardson ID | H/L ID | EI Atlas ID | Site | Longitude (X) | Latitude (Y) | Basal fields recorded (of 5) |
|---|---|---|---|---|---:|---:|---:|
| 50 | 12-172-01 | 526 | 12-172-01 | OROI | -109.318622 | -27.136509 | 0 |
| 54 | 12-013-01 | 525 | 12-013-01 | OROI | -109.313003 | -27.134973 | 2 |
| 55 | 12-014-01 | 524 | 12-014-01 | OROI | -109.313143 | -27.134967 | 2 |
| 79 | 12-220-01 | 527 | 12-220-01 | OROI | -109.321296 | -27.136668 | 3 |
| 132 | Road-N-Ahu-03 | 622b | 20-999-03 | MAUNGA VEVERA | -109.298417 | -27.114772 | 0 |
| 133 | 13-491-01 | 508 | 13-491-01 | HANGA MAIHIKU | -109.294356 | -27.130385 | 1 |
| 154 | 12-397-01 | NONE | 12-397-01 | OROI | -109.327536 | -27.140795 | 0 |
| 155 | 07-Fragment-01 | NONE | 12-999-01 | OROI | -109.323344 | -27.138042 | 0 |
| 226 | Nau-01 | NONE | 34-998-01 | AVA ANAKENA | -109.339899 | -27.075644 | 0 |
| 334 | 13-330-01 | 542 | 13-330-01 | HANGA MAIHIKU | -109.304091 | -27.123696 | 0 |
| 337 | 13-096-01 | 522 | 13-096-01 | HANGA MAIHIKU | -109.303269 | -27.134201 | 2 |
| 350 | 12-030-01 | 188 | 12-030-01 | OROI | -109.310724 | -27.136997 | 3 |
| 411 | NONE | 637 | 20-999-20 | MAUNGA VEVERA | -109.310389 | -27.108271 | 0 |
| 450 | 13-485-01 | 503 | 13-485-01 | RANO RARAHU | -109.291392 | -27.128903 | 2 |
| 459 | 13-243-01 | NONE | 13-243-01 | HANGA MAIHIKU | -109.306285 | -27.125941 | 0 |
| 461 | 13-403-01 | NONE | 13-403-01 | HANGA MAIHIKU | -109.298286 | -27.124562 | 0 |
| 462 | 13-319-01 | NONE | 13-319-01 | HANGA MAIHIKU | -109.298653 | -27.123637 | 0 |
| 463 | 13-396-01 | NONE | 13-396-01 | HANGA MAIHIKU | -109.297158 | -27.122463 | 0 |
| 494 | 06-204-01 | 70 | 06-204-01 | VAIHU | -109.363723 | -27.164603 | 1 |
| 524 | NONE | 501 | 13-481-02 | RANO RARAHU | -109.290643 | -27.128517 | 0 |
| 611 | 13-331-01 | 679 | 13-331-01 | HANGA MAIHIKU | -109.304481 | -27.123791 | 0 |
| 612 | 13-332-01 | 680 | 13-332-01 | HANGA MAIHIKU | -109.305123 | -27.123907 | 0 |
| 613 | Road-NW-11 | 624 | 20-996-01 | MAUNGA VEVERA | -109.305179 | -27.114088 | 0 |
| 619 | 12-076-01 | NONE | 12-076-01 | OROI | -109.313782 | -27.124469 | 0 |
| 677 | 13-477-01 | NONE | 13-477-01 | RANO RARAHU | -109.290433 | -27.128024 | 0 |
| 693 | NONE | 676 | 13-130-17 | HANGA MAIHIKU | -109.298284 | -27.124462 | 0 |
| 694 | NONE | 677 | 13-130-18 | HANGA MAIHIKU | -109.297182 | -27.122449 | 0 |
| 695 | NONE | 678 | 13-130-19 | HANGA MAIHIKU | -109.304088 | -27.123691 | 0 |
| 696 | NONE | 681 | 13-130-20 | HANGA MAIHIKU | -109.306302 | -27.12585 | 0 |
| 701 | NONE | 667 | 20-999-33 | MAUNGA VEVERA | -109.310389 | -27.108271 | 0 |
| 730 | NONE | 543 | 12-999-04 | OROI | -109.312302 | -27.124571 | 0 |
| 860 | 11-205-01 | 612 | 11-205-01 | VAITEA | -109.343801 | -27.127076 | 2 |
| 863 | Road-I-03 | 605 | 19-997-01 | MAUNGA PUI | -109.323336 | -27.122155 | 4 |
| 864 | Road-I-02 | 604 | 19-998-01 | OROI | -109.320007 | -27.12269 | 0 |
| 878 | 18-350-01 | 608 | 18-350-01 | MAUNGA PUI | -109.331035 | -27.115277 | 2 |
| 955 | Road-I-06 | NONE | 19-994-01 | OROI | -109.326031 | -27.124264 | 0 |
| 961 | 11-294-01 | 610 | 11-294-01 | MAUNGA O KORO | -109.337471 | -27.118602 | 0 |
| 962 | 10-020-01 | NONE | 10-020-01 | MAUNGA O TU'U | -109.3638 | -27.140162 | 0 |
| 963 | Terevaka-01 | NONE | 17-999-01 | HANUA NUA MEA | -109.362306 | -27.109462 | 0 |

## Table S3 — Unit-identity sensitivity (flagged probable duplicate)

The source database annotates OBJECTID 154 and 63 as "Highly probable match (source database annotation)", i.e. possibly
one statue recorded twice. Both are road-stage records, so the road denominator depends on
whether they are one unit or two.

**Collapse rule.** observed beats missing; agreeing observed values collapse; disagreeing observed values are treated as unobserved (conservative: widens the bounds)

| Field | OBJECTID 154 / 63 values | Merged | Rule applied |
|---|---|---|---|
| `BASAL_SURFACE_OUTLINE` | Subrounded / Missing | Subrounded | one-observed |
| `BASAL_EDGE_1` | Inward Curving / Missing | Inward Curving | one-observed |
| `BASE_PROFILE_FRONT_SHAPE` | Contracting / Missing | Contracting | one-observed |
| `BASE_PROFILE_BACK_SHAPE` | Contracting / Missing | Contracting | one-observed |
| `BASE_ANGLE` | Forward / Missing | Forward | one-observed |
| `EYE_SOCKETS` | Indeterminate / Not Carved | Not Carved | one-observed |
| `LOCATION_TYPE` | ROAD / ROAD | ROAD | agree |

**Effect on the Component B result.**

| Treatment | N | observed | D-shaped | Road bounds (%) | Overlaps platform? | Rescue frontier |
|---|---:|---:|---:|---|---|---|
| As recorded (main analysis) | 62 | 23 | 5 | [8.1, 71.0] | yes | 38 of 39 |
| Pair collapsed to one unit | 61 | 23 | 5 | [8.2, 70.5] | yes | 37 of 38 |

Non-identification of the road-platform ordering is robust to the identity of this unit: the road and platform intervals overlap under both treatments. The rescue counts are conditional on unit identity and shift by one observation.

## Table S4 — Adversarial coding margin of the eye-socket positive control

The positive control reports disjoint quarry and platform bounds. This asks how many
observed labels an adversary would have to recode to destroy that separation.

**Definitions, fixed before the search.**

| Element | Specification |
|---|---|
| Allowed change | recoding one currently OBSERVED EYE_SOCKETS cell between the positive set and the observed-negative set |
| Positive categories | `Carved`, `Large`, `Medium`, `Small` |
| Observed-negative | any observed value not in the positive set |
| Not observed | `Indeterminate`, `Missing`, `None` |
| Denominators | N and the observed count are held fixed; no observation is created or destroyed, only relabelled |
| Failure condition | worst-case bounds touch or overlap when hi_QUARRY >= lo_AHU, i.e. (d_Q + a + N_Q - obs_Q)/N_Q >= (d_A - b)/N_A |
| Search | exhaustive enumeration of every feasible recoding pair (a, b); the reported minimum is global, not a construction |

**Counts entering the calculation.**

| Stage | N | observed | positive | observed-negative |
|---|---:|---:|---:|---:|
| QUARRY | 362 | 272 | 2 | 270 |
| AHU | 481 | 204 | 201 | 3 |

Current worst-case quarry upper bound 25.4%, platform lower bound 41.8%,
separation 16.4 percentage points.

**Result.** Exhaustive enumeration of all 54,742 feasible recoding pairs
identified 52,340 configurations that would bring the bounds into contact or
overlap. The global minimum over that set is **60 recoded observed labels**. There are exactly
3 configurations attaining it:

| Quarry: observed-negative → positive | Platform: positive → observed-negative | Total |
|---:|---:|---:|
| 58 | 2 | 60 |
| 59 | 1 | 60 |
| 60 | 0 | 60 |

The separation of the positive control is therefore not a knife-edge result: no combination
of fewer than 60 adversarial recodings of observed labels brings the worst-case
bounds into contact.
